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The multi-depot heterogeneous VRP with backhauls: formulation and a hybrid VNS with GRAMPS meta-heuristic approach

Author

Listed:
  • Fatih Kocatürk

    (İzmir University of Economics)

  • G. Yazgı Tütüncü

    (İzmir University of Economics
    IESEG School of Management)

  • Said Salhi

    (University of Kent)

Abstract

In this paper, we investigate the Multi-Depot Heterogeneous VRP with Backhauls. Though the problem is a generalisation of three existing routing problems, this is the first time this combined routing problem is investigated. A mathematical formulation is first presented followed by some tightening. A powerful and novel hybridisation of Variable Neighbourhood Search (VNS) with the Greedy Randomized Adaptive Memory Programming Search is proposed. As there are no problem instances available for bench-marking and evaluation purposes, we generated data sets by combining those from existing vehicle routing problems. The proposed meta-heuristic obtains a number of optimal solutions for small instances and yields about $$13\%$$ 13 % gap from the lower bounds compared to nearly $$40\%$$ 40 % and $$20\%$$ 20 % average gap values for our CPLEX implementation and the VNS without hybridisation, respectively.

Suggested Citation

  • Fatih Kocatürk & G. Yazgı Tütüncü & Said Salhi, 2021. "The multi-depot heterogeneous VRP with backhauls: formulation and a hybrid VNS with GRAMPS meta-heuristic approach," Annals of Operations Research, Springer, vol. 307(1), pages 277-302, December.
    • Handle: RePEc:spr:annopr:v:307:y:2021:i:1:d:10.1007_s10479-021-04137-6
    DOI: 10.1007/s10479-021-04137-6
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    References listed on IDEAS

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